1. Welcome to SJS and an Evening of Maths!

2. Calculation Strategies

3. Calculating
The purpose of the National Numeracy Strategy was to improve standards in Mathematics.
Emphasis upon developing pupils’ mental calculation strategies and their understanding.

4. Calculating
Younger children are encouraged to use mental strategies to calculate but when the numbers become ‘too big’ they begin the process of using pencil and paper to support these mental calculations.
These ‘jottings’ develop into expanded methods of calculating which support the mental methods and make the processes clear.
In the later primary years, children are taught conventional written methods, many of which you will recognise. However the route to reach these methods you may not recognise.

5. Written Methods of Calculation
Aim – by the end of Key Stage 2, majority of children are able to use an efficient written method for each operation with confidence and understanding.

6. Expanded methods lead children into compact methods so that they understand structure and efficiency.
An expanded form is needed before the steps in the traditional standard written method are meaningful and can be used with understanding.
AIM – To develop the children’s understanding of the process rather than the process itself.

7. Attitudes Towards Maths
Jo Boaler – Professor of Maths at Stanford University
Everyone can learn Maths to a high level
Believe in yourself – Growth Mindset - Persistence
Struggle and learning from mistakes are really important Challenge
Speed is not important
It is important to think visually and creatively. Maths is not just about calculations. It is about patterns and space, thinking deeply and seeing things differently and making connections.
You can achieve whatever you want to!

8. Importance of knowing basic number facts.

9.
8 6 3 2 1 4 7 1 1

10. 7 9 1 1 6 1 7 1

11. ÷ 6 ) 5 2 6

12. Partitioning
98 =
523 =
1 578 =

13. Addition

14. Number Line

15. Partitioning
= = = 119

16. Adding by Partitioning Vertically
1 5 6 +
2 3 2
3 0 0
8 0 8
6 + 2
3 8 8

17. Partitioning Vertically 2 3 7 8 2 3 7 8 + 1 1 4 9 + 1 1 4 9 3 5 2 1 7
Formal
Written
Method
Partitioning
Vertically + + 3 5 2 1 7 1
4 0 0
1 1 0
1 7

18. Adding the least significant digits first
Adding the most significant digits first
Adding the least significant digits first = =
8 + 6 =

19. I have £7587 in my savings account
I have £7587 in my savings account. I get five numbers in the National Lotto game and win £5675. How much money do I have now?
7587
( )
150 ( )
1100 ( )
( )
13262

20.
8 6 3 2 1 4 7 1 1

21. Adding Decimals

22. Partitioning Vertically 6 5 . 4 + 3 9 . 3 6 5 . 4 + 3 9 . 3 . 7
Formal
Written
Method
Partitioning
Vertically + +
. 7
1 0 4 1 . 7

23. Subtraction

24. Number Line

25. +7
+30
+700
+40 +7 63 70
100
800
840
847
=784

26. Subtraction by counting up.
= 304 +2
+300 +2 2
(to 200)
300
(to 500)
198
200
500
502 2
(to 502)
304

27. Counting Up

28. Counting Up

29. Expanded Column Subtraction

31. Subtracting Decimals

32. Subtraction by counting up.
= 16.4
+0.1
+2.0
+10.0
+4.3
0.1
(to 8.0)
2.0
(to 10.0)
7.9
8.0
10.0
20.0
24.3
10.0
(to 20.0)
4.3
(to 24.3) 1 6 .4

33. Decimals

34. Division

35. Grouping

37. Using appropriate chunks
The easy way to divide!

38. 72 ÷ 4 = 18 18 4 72
we know 10 x 32
we know 8 x
We highlight the times table we are using.
We circle the number of groups.

39. 84 ÷ 6 = 14 14 6 84
we know 10 x 24
we know 4 x
We highlight the times table we are using.
We circle the number of groups.

40. 112 ÷ 8 = 14 14 8
112
we know 10 x 32
we know 4 x

43. ÷ 6 ) 5 2 6

45. The Grid Method
The fun way to multiply!

46. Mental Multiplication using Partitioning

47. 27 x 4 = ? x 3 = ? X
= 108 X
= 108

49. Partition each number first
25 x 35= X 20 5 30

50. 25 x 35= X 20 5 30
600
150
100 25 7 5 + 1 2 8 7 5

51. Multiplying using the Grid MethodX 70 3 50
3500
150 8
560 24
3650
4234

52. 37 x 86 30 7 x
2580 +
2400
560 80
602
3182 42
180 6 1
2580
602

55. Does your word problem match the calculation?
If a baker bakes 52 loaves of bread every day, how many will he have baked in 7 days?
Charlie has packed his soldiers into 4 boxes ready to move house. In each box he has managed to pack 65 soldiers. How many soldiers does Charlie have altogether in the boxes?
For the Oscars, 76 special goody bags have been prepared. Each bag has 6 special presents inside. How many presents has the organiser had to buy for these bags?
Nine children each bring in 47p towards their class’ Comic Relief fund. How much money did they bring in altogether?
At a theme park, 92 people each paid an £8 entrance fee. How much did the park make from these people?
Now have a go at writing your own word problems based on these calculations………..
71x9= 53x9= 68x4=
Does your word problem match the calculation?